YES

TRS:

  w(r(x)) -> r(w(x))
  b(r(x)) -> r(b(x))
  b(w(x)) -> w(b(x))

linear polynomial interpretations on N:

  w_A(x1) = x1 + 3
  w#_A(x1) = x1 + 3
  r_A(x1) = x1 + 1
  r#_A(x1) = x1 + 1
  b_A(x1) = x1 + 2
  b#_A(x1) = x1 + 2

precedence:

  w = b > r